I'm not sure if you are serious or joking. "6 degrees of separation" is the famous radius for how many steps are needed such that everyone is connected.
Graph databases have a very narrow usecase, and it's almost always in relation to people - at least ime.
Though the data type isn't really important for the performance question, the amount of data selected is. So a 6-level depth graph of connections that only connect 2-3 entities would never get into performance issues. You'd be able to go way beyond that too with such a narrow window. (3 entity Connections on 6 level join would come out to I believe ~750 rows)
If you're modeling something like movies instead, with >10 actors per production you're looking at millions of rows.